Volume 17, Issue 1

In this paper, we discuss a fairly large number of parametric and semiparametric duality results under various generalized ( η, ρ )-invexity assumptions for a semiinfinite multiobjective fractional programming problem.

Our aim is to get characterizations and unconditional bases of variable Sobolev spaces in terms of wavelets. As an application, we obtain the sampling theorem in .

This paper is concerned with weak uniformly normal structure and the structure of the set of fixed points of Lipschitzian mappings. It is shown that in a Banach space X with weak uniformly normal structure, every asymptotically regular Lipschitzian semigroup of self-mappings defined on a weakly compact convex subset of X satisfies the ( ω )-fixed point property. We show that if X has a uniformly Gâteaux differentiable norm, then the set of fixed points of every asymptotically nonexpansive mapping is nonempty and sunny nonexpansive retract of C . Our results improve several known fixed point theorems for the class of Lipschitzian mappings in a general Banach space.

Methods for constructing masas in the Calkin algebra without assuming the Continuum Hypothesis are developed.

We establish in this paper some existence results of a solution to a boundary value problem of fractional differential equation. We obtain two results, the first one by the Banach fixed point theorem and the second by a nonlinear alternative of Leray–Schauder type.

In this work, a new class of set-valued variational-like inclusions involving H - η -accretive operators is introduced and studied. A new iterative procedure for computing approximate solutions for the class of set-valued variational-like inclusions and convergence results are established.

We define a semi-symmetric non-metric connection in a nearly Sasakian manifold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.

Let ƒ : B → ℂ denote a Sobolev function of class defined on the unit disc. We show that the distance of ƒ to the class of all holomorphic functions measured in the norm of the space is bounded by the L p -norm of theWirtinger derivative . As a consequence we obtain a Korn type inequality for vector fields .

We prove a comparison theorem for an ODE and DAE system which arises from the method of lines. Under a Perron comparison condition on the functional dependence and a specific Lipschitz and (W+) condition on the classical argument, we obtain strong uniqueness criteria.